Completely decomposable modular Jacobians

Contemporary mathematics - American Mathematical Society 2026 Open access

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Authors: Jennifer Paulhus, Andrew V. Sutherland
DOI: 10.1090/conm/840/16819
Cited by: 0

Abstract

We use recently developed algorithms and a new database of modular curves constructed for the L-functions and Modular Forms Database to enumerate completely decomposable modular Jacobians of level N > 240 N > 240 . In particular, we find examples in 13 previously unknown genera of Jacobian varieties isogenous to a product of elliptic curves over Q {\mathbb {Q}} . The new genera are: 38 38 , 68 68 , 75 75 , 76 76 , 77 77 , 78 78 , 113 113 , 135 135 , 137 137 , 157 157 , 159 159 , 169 169 , and 409 409 .

Fields of Study & Subjects

Algebraic Geometry and Number Theory Polynomial and algebraic computation Nonlinear Waves and Solitons

Publication details

Journal / source
Contemporary mathematics - American Mathematical Society
Pages
271–276
Publication date
1 May 2026
Language
EN